SOLUTION: I am stuck on this: 1/(3v-6) -4= -2/(v-2)

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Question 449026: I am stuck on this:
1/(3v-6) -4= -2/(v-2)

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%283v-6%29+-4=+-2%2F%28v-2%29........common denominator

%281+-4%283v-6%29%29%2F%283v-6%29=+-2%2F%28v-2%29

%281+-12v%2B24%29%2F%283v-6%29=+-2%2F%28v-2%29

%28-12v%2B25%29%2F%283v-6%29=+-2%2F%28v-2%29......cross multiply

%28-12v%2B25%29%28v-2%29=+-2%283v-6%29

-12v%5E2%2B24v%2B25v-50=+-6v%2B12%29

-50-12=12v%5E2-25v-24v+-6v%29

-62=12v%5E2-55v%29

12v%5E2-55v%2B62=0%29.......use quadratic formula

v+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

v+=+%28-%28-55%29+%2B-+sqrt%28%28-55%29%5E2-4%2A12%2A62+%29%29%2F%282%2A12%29+

v+=+%2855+%2B-+sqrt%283025-2976%29%29%2F24+

v+=+%2855+%2B-+sqrt%2849%29%29%2F24+

v+=+%2855+%2B-+7%29%2F24+

v+=+%2855+%2B+7%29%2F24+

v+=+62%2F24+

v+=+2.58
or

v1+=+%2855+-+7%29%2F24+

v1+=+48%2F24+

v1+=+2

so, your solutions are:v+=+2.58 or v+=+2


let's see it on a graph:
+graph%28+500%2C+500%2C+-5%2C+5%2C+-10%2C+10%2C+12x%5E2-55x%2B62%29+